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If the distance between the Earth and the Sun were increased by a factor of 2.51, by what factor would the strength of the force between them change? [Hint: Use Newton's Law of Universal Gravitation, and give your answer to 2 decimal places only]

Respuesta :

Answer:

Force between sun and earth will decrease by [tex]2.51^2=6.3[/tex] times

Explanation:

According to law of gravitation we know that force between two object is given by

[tex]F=\frac{GM_1M_2}{R^2}[/tex], here G is universal gravitational constant [tex]M_1[/tex] is mass of one object and [tex]M_2[/tex] is mass of other object , and R is the distance between them

From the relation we can see that force is inversely proportional to square of distance between them

So force between sun and earth will decrease by [tex]2.51^2=6.3[/tex] times

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